Grade 10 Equation Word Problems Worksheet
This worksheet provides practice for grade 10 students in solving various equation word problems, covering linear, quadratic, and system of equations.
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Grade 10 Equation Word Problems
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Read each word problem carefully and set up an equation or a system of equations to solve it. Show all your work.
1. The sum of three consecutive integers is 126. What are the integers?
2. A rectangle has a perimeter of 84 cm. If the length is 5 cm more than twice the width, find the dimensions of the rectangle.
3. The product of two consecutive positive integers is 182. Find the integers.
4. A pebble is thrown upwards from the top of a 50-meter cliff with an initial velocity of 20 m/s. The height 'h' of the pebble above the ground after 't' seconds is given by the equation h = -5t² + 20t + 50. When will the pebble hit the ground?
5. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people entered the fair, and $5050 was collected. How many children and how many adults attended?
6. A test has 20 questions worth 100 points. True/false questions are worth 3 points each and multiple-choice questions are worth 11 points each. How many true/false questions and multiple-choice questions are on the test?
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